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Finding the Third Proportional to 324,916 and 675,832

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Solution

The third proportional to 324,916 and 675,832 is: 1,405,744.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,916 : 675,832 = 675,832 : x
  2. Step 2: Convert to fraction form
    324,916/675,832 = 675,832/x
  3. Step 3: Cross multiply
    324,916x = 675,832 × 675,832
  4. Step 4: Simplify right side
    324,916x = 456,748,892,224
  5. Step 5: Solve for x
    x = 456,748,892,224/324,916
  6. Step 6: Final answer
    x = 1,405,744.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.